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Popular Calculus >

integral from-1 to 1 of x^3+x^2

Solution

\int_{- 1}^{1} x^{3} + x^{2} d x

Solution

\frac{2}{3}

+1

Decimal

0.66666 \dots

Solution steps

\int_{- 1}^{1} x^{3} + x^{2} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 1}^{1} x^{3} d x + \int_{- 1}^{1} x^{2} d x

\int_{- 1}^{1} x^{3} d x = 0

\int_{- 1}^{1} x^{2} d x = \frac{2}{3}

= 0 + \frac{2}{3}

Simplify

= \frac{2}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of x^3+x^2 ?
The integral from-1 to 1 of x^3+x^2 is 2/3